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Finding the Third Proportional to 93,186 and 124,154

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Solution

The third proportional to 93,186 and 124,154 is: 165,413.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,186 : 124,154 = 124,154 : x
  2. Step 2: Convert to fraction form
    93,186/124,154 = 124,154/x
  3. Step 3: Cross multiply
    93,186x = 124,154 × 124,154
  4. Step 4: Simplify right side
    93,186x = 15,414,215,716
  5. Step 5: Solve for x
    x = 15,414,215,716/93,186
  6. Step 6: Final answer
    x = 165,413.43

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.